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Popular >

simplify e^{-st}f(t)dt

Solution

simplify

e^{- s t} f (t) d t

Solution

\frac{t fd t}{e ^{s t}}

Solution steps

e^{- s t} f (t) d t

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{s t}} t fd t

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot f t d t}{e ^{s t}}

Multiply:

1 \cdot f = f

= \frac{t fd t}{e ^{s t}}

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Frequently Asked Questions (FAQ)

What is e^{-st}f(t)dt ?
The solution to e^{-st}f(t)dt is (tfdt)/(e^{st)}